Chapter 1.1, Problem 12P

Write an algebraic expression for each word phrase.

3 less than the quotient of 20 and $x$

To determine

To Write: The algebraic expression for the word phrase.

Answer to Problem 12P

The algebraic expression is $\frac{20}{x}-3$ .

Explanation of Solution

Given information:

The word phrase “ 3 less than the quotient of 20 and $x$ ”

Concept and Formula Used:

Division & subtraction of variables and number.

Calculation:

The given word phrase is “ 3 less than the quotient of 20 and $x$ ”

First find the quotient of 20 and $x$

The algebraic expression represent quotient of 20 and $x$ is

  $20÷x=\frac{20}{x}$

Now, 3 less than the quotient of 20 and $x$ is represented by

  $\frac{20}{x}-3$

Conclusion:

The algebraic expression is $\frac{20}{x}-3$